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Finding the Fourth Proportional to 622.02, 858.99 and 466.50

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Solution

The fourth proportional to 622.02, 858.99 and 466.50 is: 644.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.02 : 858.99 = 466.50 : x
  2. Step 2: Convert to fraction form
    622.02/858.99 = 466.50/x
  3. Step 3: Cross multiply
    622.02x = 858.99 × 466.50
  4. Step 4: Simplify right side
    622.02x = 400,718.84
  5. Step 5: Solve for x
    x = 400,718.84/622.02
  6. Step 6: Final answer
    x = 644.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.